Finding the Third Proportional to 242 and 413
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Solution
The third proportional to 242 and 413 is: 704.83
Step by Step Solution
- Step 1: Write the proportion equation
242 : 413 = 413 : x - Step 2: Convert to fraction form
242/413 = 413/x - Step 3: Cross multiply
242x = 413 × 413 - Step 4: Simplify right side
242x = 170,569 - Step 5: Solve for x
x = 170,569/242 - Step 6: Final answer
x = 704.83
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Why These Related Problems?
These problems maintain the same ratio (1.71) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.